Patched Conics Interplanetary Injection Calculator

Astrodynamics & Mission Design: Calculate heliocentric transfer trajectories, departure hyperbolic excess velocity ($v_\infty$), parking orbit injection $\Delta v$, and Laplace Sphere of Influence ($r_{SOI}$).

Interplanetary Mission Parameters

Mission Preset:

Departure Body Distance $r_1$ (AU):

Target Arrival Distance $r_2$ (AU):

Departure Body Radius $R_1$ (km):

Departure Grav. Param $\mu_1$ (km³/s²):

Departure Parking Altitude $h_p$ (km):

Target Mass Ratio $M_1/M_\odot$:

Transfer & Injection Summary

Hyperbolic Excess Velocity ($v_\infty$)

-- km/s

Launch Energy C₃: -- km²/s²

Departure Burn $\Delta v_{\text{inj}}$

-- km/s

Periapsis Speed: -- km/s

One-Way Flight Time

-- days

-- Ms

Sphere of Influence ($r_{\text{SOI}}$)

-- km

-- Earth radii

Heliocentric Orbit Parameters:

• Heliocentric semi-major axis $a_t$: -- AU

• Departure body orbital velocity $v_{c1}$: -- km/s

• Transfer perihelion/aphelion departure speed $v_{t1}$: -- km/s

• Arrival relative speed at target orbit $v_{\infty,\text{arr}}$: -- km/s

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Patched Conics Interplanetary Injection Calculator

Interplanetary Mission Parameters

Transfer & Injection Summary

Frequently Asked Questions